This thread seems to be confusing two separate events. The high profile incident that lead to the dismissal of the Concorde flight manager was much earlier than 1998, more like 1988. There was no go around involved. As I understand it was a straight in approach and there was even doubt as to whether there would have been sufficient fuel remaining for a second approach. The cause of the fuel shortage may have been technical, such as subsonic cruise at lower altitude leading to higher than planned fuel burn. En route diversion opportunities such as Shannon and Cardiff had been passed up.
I don't recollect hearing of the 1998 incident. But I do have a faint memory of a low fuel event in the early 1990s in which strong winds played a part. RW05 in use at LHR and a diversion to LGW ensued.
I am sure there are others closer to these events and with a clearer memory who could provide a more accurate account.